This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=pdflatex 2007.10.26) 14 DEC 2008 15:07 entering extended mode **HapMan (./HapMan.tex LaTeX2e <2003/12/01> Babel <v3.8d> and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, loaded. 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[1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]) \tf@toc=\write8 \openout8 = `HapMan.toc'. [2] Chapter 1. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <20.74> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 55. LaTeX Warning: Command \^ invalid in math mode on input line 61. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.61 ...n for the abelian group $G=Z_L[1]+Z_L[2]+ ·Â·Â·+Z_L[d]$ . I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.61 ...n for the abelian group $G=Z_L[1]+Z_L[2]+ ·Â·Â·+Z_L[d]$ . Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6 1. LaTeX Font Info: Font shape `OMS/ptm/m/n' in size <10.95> not available (Font) Font shape `OMS/pzccm/m/n' tried instead on input line 61. LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6 1. LaTeX Warning: Command \^ invalid in math mode on input line 61. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.61 ...for the abelian group $G=Z_L[1]+Z_L[2]+· ·Â·+Z_L[d]$ . I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.61 ...for the abelian group $G=Z_L[1]+Z_L[2]+· ·Â·+Z_L[d]$ . Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6 1. LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6 1. LaTeX Warning: Command \^ invalid in math mode on input line 61. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.61 ...r the abelian group $G=Z_L[1]+Z_L[2]+·· ·+Z_L[d]$ . I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.61 ...r the abelian group $G=Z_L[1]+Z_L[2]+·· ·+Z_L[d]$ . Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6 1. LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6 1. Missing character: There is no ç in font zpsycmrv! Missing character: There is no ç in font zpsycmrv! Missing character: There is no ç in font zpsycmrv! LaTeX Font Info: Try loading font information for OML+ptm on input line 92. (/usr/share/texmf-tetex/tex/latex/psnfss/omlptm.fd File: omlptm.fd ) LaTeX Font Info: Font shape `OML/ptm/m/n' in size <10.95> not available (Font) Font shape `OML/cmm/m/it' tried instead on input line 92. LaTeX Warning: Command \~ invalid in math mode on input line 122. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.122 ...$-resolution for the direct product $D=Gà H$. I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.122 ...$-resolution for the direct product $D=Gà H$. Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.122 ...-resolution for the direct product $D=Gà H$. You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. Missing character: There is no ç in font zpsycmrv! Overfull \hbox (3477.57355pt too wide) in paragraph at lines 59--216 [] [] [3 ] Chapter 2. Overfull \hbox (482.18367pt too wide) in paragraph at lines 226--229 [] [] [4 ] Chapter 3. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.245 \item $ M!.source$ is the resolution $R$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.245 \item $ M!.source$ is the resolution $R$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.245 \item $ M!.source$ is the resolution $R$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.246 \item $ M!.target$ is the resolution $S$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.246 \item $ M!.target$ is the resolution $S$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.246 \item $ M!.target$ is the resolution $S$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.247 \item $ M!.mapping(w,n)$ is a function which gives the image in $S_n$, ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.247 \item $ M!.mapping(w,n)$ is a function which gives the image in $S_n$, ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.247 \item $ M!.mapping(w,n)$ is a function which gives the image in $S_n$, ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.248 \item $ F!.properties$ is a list of pairs such as ["type", "equivarian... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.248 \item $ F!.properties$ is a list of pairs such as ["type", "equivarian... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.248 \item $ F!.properties$ is a list of pairs such as ["type", "equivarian... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.249 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.249 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.249 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (1991.52902pt too wide) in paragraph at lines 239--253 [] [] [5 ] Chapter 4. LaTeX Warning: Command \~ invalid in math mode on input line 271. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.271 ...ngrightarrow GL_n(Z)$ to the group of $nà n$ invertible integer mat... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.271 ...ngrightarrow GL_n(Z)$ to the group of $nà n$ invertible integer mat... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.271 ...grightarrow GL_n(Z)$ to the group of $nà n$ invertible integer matr... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. Missing character: There is no ç in font zpsycmrv! Overfull \hbox (2912.40712pt too wide) in paragraph at lines 263--300 [] [] [6 ] Chapter 5. Overfull \hbox (2061.24712pt too wide) in paragraph at lines 310--325 [] [] [7 ] Chapter 6. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.339 \item I f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.339 \item I f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.339 \item I f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.340 \item I f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.340 \item I f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.340 \item I f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.341 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.341 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.341 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.374 \item I f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.374 \item I f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.374 \item I f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.375 \item I f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.375 \item I f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.375 \item I f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.376 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.376 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.376 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (4234.75533pt too wide) in paragraph at lines 335--426 [] [] [8 ] Chapter 7. Overfull \hbox (2194.73328pt too wide) in paragraph at lines 436--463 [] [] [9 ] Chapter 8. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.485 \item $ P$ is the output of the command $CR_CocyclesAndCoboundaries(R,... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.485 \item $ P$ is the output of the command $CR_CocyclesAndCoboundaries(R,... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.485 \item $ P$ is the output of the command $CR_CocyclesAndCoboundaries(R,... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.486 \item $ Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.486 \item $ Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.486 \item $ Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.487 \item $ N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.487 \item $ N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.487 \item $ N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.488 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.488 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.488 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (4655.92128pt too wide) in paragraph at lines 473--526 [] [] [10 ] Chapter 9. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.554 \item $ E.homomorphism$ is a group homomorphism $µ : (G \wedge N) \lo... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.554 \item $ E.homomorphism$ is a group homomorphism $µ : (G \wedge N) \lo... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.554 \item $ E.homomorphism$ is a group homomorphism $µ : (G \wedge N) \lo... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. LaTeX Warning: Command \^ invalid in math mode on input line 554. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.554 ....homomorphism$ is a group homomorphism $ µ : (G \wedge N) \longrigh... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.554 ....homomorphism$ is a group homomorphism $ µ : (G \wedge N) \longrigh... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! LaTeX Warning: Command \^ invalid in math mode on input line 554. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.554 ...t $(G \wedge N)$ to $G$. The kernel of $ µ$ is the relative Schur m... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.554 ...t $(G \wedge N)$ to $G$. The kernel of $ µ$ is the relative Schur m... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.555 \item $ E.pairing(x,y)$ is a function which inputs an element $x$ in $... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.555 \item $ E.pairing(x,y)$ is a function which inputs an element $x$ in $... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.555 \item $ E.pairing(x,y)$ is a function which inputs an element $x$ in $... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.556 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.556 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.556 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.573 \item $ T.homomorphism$ is a group homomorphism $µ : (G \tilde\otimes... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.573 \item $ T.homomorphism$ is a group homomorphism $µ : (G \tilde\otimes... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.573 \item $ T.homomorphism$ is a group homomorphism $µ : (G \tilde\otimes... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. LaTeX Warning: Command \^ invalid in math mode on input line 573. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.573 ....homomorphism$ is a group homomorphism $ µ : (G \tilde\otimes G) \l... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.573 ....homomorphism$ is a group homomorphism $ µ : (G \tilde\otimes G) \l... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! LaTeX Warning: Command \^ invalid in math mode on input line 573. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.573 ...ic square of $G$ to $G$. The kernel of $ µ$ is isomorphic to the fo... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.573 ...ic square of $G$ to $G$. The kernel of $ µ$ is isomorphic to the fo... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.574 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.574 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.574 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.575 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.575 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.575 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.588 \item $ E.homomorphism$ is a group homomorphism $µ : (G \otimes N ) \... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.588 \item $ E.homomorphism$ is a group homomorphism $µ : (G \otimes N ) \... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.588 \item $ E.homomorphism$ is a group homomorphism $µ : (G \otimes N ) \... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. LaTeX Warning: Command \^ invalid in math mode on input line 588. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.588 ....homomorphism$ is a group homomorphism $ µ : (G \otimes N ) \longri... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.588 ....homomorphism$ is a group homomorphism $ µ : (G \otimes N ) \longri... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.589 \item $ E.pairing(x,y)$ is a function which inputs an element $x$ in $... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.589 \item $ E.pairing(x,y)$ is a function which inputs an element $x$ in $... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.589 \item $ E.pairing(x,y)$ is a function which inputs an element $x$ in $... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.590 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.590 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.590 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.598 \item $ T.homomorphism$ is a group homomorphism $µ : (G \otimes G) \l... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.598 \item $ T.homomorphism$ is a group homomorphism $µ : (G \otimes G) \l... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.598 \item $ T.homomorphism$ is a group homomorphism $µ : (G \otimes G) \l... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. LaTeX Warning: Command \^ invalid in math mode on input line 598. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.598 ....homomorphism$ is a group homomorphism $ µ : (G \otimes G) \longrig... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.598 ....homomorphism$ is a group homomorphism $ µ : (G \otimes G) \longrig... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! LaTeX Warning: Command \^ invalid in math mode on input line 598. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.598 ...or square of $G$ to $G$. The kernel of $ µ$ is isomorphic to the th... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.598 ...or square of $G$ to $G$. The kernel of $ µ$ is isomorphic to the th... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.599 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.599 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.599 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.600 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.600 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.600 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (4275.65884pt too wide) in paragraph at lines 536--637 [] [] [11 ] Chapter 10. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.653 \item t he kernel of $phi$ lies in both the centre of $C$ and the deriv... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.653 \item t he kernel of $phi$ lies in both the centre of $C$ and the deriv... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.653 \item t he kernel of $phi$ lies in both the centre of $C$ and the deriv... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.654 \item t he kernel of $phi$ is a vector space of rank equal to the rank... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.654 \item t he kernel of $phi$ is a vector space of rank equal to the rank... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.654 \item t he kernel of $phi$ is a vector space of rank equal to the rank... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.656 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.656 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.656 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.662 \item t he kernel of $phi$ lies in both the centre of $C$ and the deriv... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.662 \item t he kernel of $phi$ lies in both the centre of $C$ and the deriv... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.662 \item t he kernel of $phi$ lies in both the centre of $C$ and the deriv... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.663 \item t he kernel of $phi$ is a vector space of rank equal to the rank... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.663 \item t he kernel of $phi$ is a vector space of rank equal to the rank... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.663 \item t he kernel of $phi$ is a vector space of rank equal to the rank... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.664 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.664 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.664 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.673 \item $ E.homomorphism$ is a Lie homomorphism $µ : (L \wedge L) \long... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.673 \item $ E.homomorphism$ is a Lie homomorphism $µ : (L \wedge L) \long... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.673 \item $ E.homomorphism$ is a Lie homomorphism $µ : (L \wedge L) \long... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. LaTeX Warning: Command \^ invalid in math mode on input line 673. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.673 ...$E.homomorphism$ is a Lie homomorphism $ µ : (L \wedge L) \longrigh... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.673 ...$E.homomorphism$ is a Lie homomorphism $ µ : (L \wedge L) \longrigh... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! LaTeX Warning: Command \^ invalid in math mode on input line 673. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.673 ...e $(L \wedge L)$ to $L$. The kernel of $ µ$ is the Lie multiplier. I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.673 ...e $(L \wedge L)$ to $L$. The kernel of $ µ$ is the Lie multiplier. Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.674 \item $ E.pairing(x,y)$ is a function which inputs elements $x, y$ in ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.674 \item $ E.pairing(x,y)$ is a function which inputs elements $x, y$ in ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.674 \item $ E.pairing(x,y)$ is a function which inputs elements $x, y$ in ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.675 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.675 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.675 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.681 \item $ T.homomorphism$ is a Lie homomorphism $µ : (L \otimes L) \lon... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.681 \item $ T.homomorphism$ is a Lie homomorphism $µ : (L \otimes L) \lon... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.681 \item $ T.homomorphism$ is a Lie homomorphism $µ : (L \otimes L) \lon... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. LaTeX Warning: Command \^ invalid in math mode on input line 681. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.681 ...$T.homomorphism$ is a Lie homomorphism $ µ : (L \otimes L) \longrig... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.681 ...$T.homomorphism$ is a Lie homomorphism $ µ : (L \otimes L) \longrig... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. Missing character: There is no ç in font zpsycmrv! ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.682 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.682 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.682 \item $ T.pairing(x,y)$ is a function which inputs two elements $x, y$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.683 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.683 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.683 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (1644.1972pt too wide) in paragraph at lines 647--688 [] [] [12 ] Chapter 11. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.734 \item $ P.freeGroup$ is a free group $F$, Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.734 \item $ P.freeGroup$ is a free group $F$, Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.734 \item $ P.freeGroup$ is a free group $F$, Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.735 \item $ P.relators$ is a list $S$ of words in $F$, Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.735 \item $ P.relators$ is a list $S$ of words in $F$, Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.735 \item $ P.relators$ is a list $S$ of words in $F$, Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.736 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.736 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.736 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (2262.87747pt too wide) in paragraph at lines 698--741 [] [] [13 ] Chapter 12. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.771 \item p rints the dimension of the orbit polytope $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.771 \item p rints the dimension of the orbit polytope $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.771 \item p rints the dimension of the orbit polytope $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.772 \item p rints the degree of a vertex in the graph of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.772 \item p rints the degree of a vertex in the graph of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.772 \item p rints the degree of a vertex in the graph of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.773 \item v isualizes the graph of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.773 \item v isualizes the graph of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.773 \item v isualizes the graph of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.774 \item v isualizes the Schlegel diagram of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.774 \item v isualizes the Schlegel diagram of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.774 \item v isualizes the Schlegel diagram of $P(G,v)$; Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.775 \item v isualizes $P(G,v)$ if the polytope is of dimension 2 or 3. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.775 \item v isualizes $P(G,v)$ if the polytope is of dimension 2 or 3. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.775 \item v isualizes $P(G,v)$ if the polytope is of dimension 2 or 3. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.776 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.776 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.776 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.784 \item $ R!.dimension(k)$ is a function which returns the number of $G$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.784 \item $ R!.dimension(k)$ is a function which returns the number of $G$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.784 \item $ R!.dimension(k)$ is a function which returns the number of $G$... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.785 \item $ R!.stabilizer(k,n)$ is a function which returns the stabilizer... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.785 \item $ R!.stabilizer(k,n)$ is a function which returns the stabilizer... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.785 \item $ R!.stabilizer(k,n)$ is a function which returns the stabilizer... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.786 \item I f all faces of dimension {\textless}$k+1$ have trivial stabili... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.786 \item I f all faces of dimension {\textless}$k+1$ have trivial stabili... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.786 \item I f all faces of dimension {\textless}$k+1$ have trivial stabili... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.787 \item $ R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.787 \item $ R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.787 \item $ R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.788 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.788 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.788 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.797 \item $ P.generators$ is a list of all those elements $g$ in $G$ such ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.797 \item $ P.generators$ is a list of all those elements $g$ in $G$ such ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.797 \item $ P.generators$ is a list of all those elements $g$ in $G$ such ... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.798 \item $ P.vector$ is the vector $v$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.798 \item $ P.vector$ is the vector $v$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.798 \item $ P.vector$ is the vector $v$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.799 \item $ P.hasseDiagram$ is the Hasse diagram of the cone at $v$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.799 \item $ P.hasseDiagram$ is the Hasse diagram of the cone at $v$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.799 \item $ P.hasseDiagram$ is the Hasse diagram of the cone at $v$. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.800 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.800 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.800 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (5338.07579pt too wide) in paragraph at lines 751--806 [] [] [14 ] Chapter 13. Overfull \hbox (1398.02496pt too wide) in paragraph at lines 816--832 [] [] [15 ] Chapter 14. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <17.28> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 838. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <14.4> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 838. Overfull \hbox (907.46689pt too wide) in paragraph at lines 842--875 [] [] [16 ] Chapter 15. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.904 \item $ R.freeModule$ is the free module $FG$ of rank one. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.904 \item $ R.freeModule$ is the free module $FG$ of rank one. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.904 \item $ R.freeModule$ is the free module $FG$ of rank one. Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.905 \item $ R.basis$ is a list representing an $F$-basis for the module $Ho... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.905 \item $ R.basis$ is a list representing an $F$-basis for the module $Ho... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.905 \item $ R.basis$ is a list representing an $F$-basis for the module $Ho... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.906 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.906 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.906 \end{itemize} Try typing <return> to proceed. If that doesn't work, type X <return> to quit. Overfull \hbox (1855.3172pt too wide) in paragraph at lines 885--990 [] [] [17 ] Chapter 16. Overfull \hbox (1921.76767pt too wide) in paragraph at lines 1000--1012 [] [] [18 ] Chapter 17. Overfull \hbox (1735.16869pt too wide) in paragraph at lines 1022--1063 [] [] [19 ] Chapter 18. Overfull \hbox (441.32085pt too wide) in paragraph at lines 1073--1092 [] [] [20 ] Chapter 19. Overfull \hbox (1058.89073pt too wide) in paragraph at lines 1102--1152 [] [] [21 ] Chapter 20. Overfull \hbox (930.52495pt too wide) in paragraph at lines 1162--1193 [] [] [22 ] Chapter 21. Overfull \hbox (1668.32852pt too wide) in paragraph at lines 1203--1264 [] [] [23 ] Chapter 22. Overfull \hbox (650.04799pt too wide) in paragraph at lines 1274--1287 [] [] [24 ] Chapter 23. Overfull \hbox (1165.09933pt too wide) in paragraph at lines 1297--1354 [] [] [25 ] Chapter 24. Overfull \hbox (642.87128pt too wide) in paragraph at lines 1364--1373 [] [] [26 ] Chapter 25. LaTeX Warning: Command \~ invalid in math mode on input line 1415. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.1415 Inputs an $mà n$ matrix $M$ and a $kÃn$ matrix $B$ over a field. It... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.1415 Inputs an $mà n$ matrix $M$ and a $kÃn$ matrix $B$ over a field. It... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.1415 Inputs an $mà n$ matrix $M$ and a $kÃn$ matrix $B$ over a field. It... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. Missing character: There is no ç in font zpsycmrv! LaTeX Warning: Command \~ invalid in math mode on input line 1415. ! Please use \mathaccent for accents in math mode. \add@accent ...@spacefactor \spacefactor }\accent #1 #2\egroup \spacefactor ... l.1415 Inputs an $mÃn$ matrix $M$ and a $kà n$ matrix $B$ over a field. It... I'm changing \accent to \mathaccent here; wish me luck. (Accents are not the same in formulas as they are in text.) ! You can't use `\spacefactor' in math mode. \add@accent ...}\accent #1 #2\egroup \spacefactor \accent@spacefactor l.1415 Inputs an $mÃn$ matrix $M$ and a $kà n$ matrix $B$ over a field. It... Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing `I}' or `I$' or `I\par'. ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.1415 Inputs an $mÃn$ matrix $M$ and a $kà n$ matrix $B$ over a field. It... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. Missing character: There is no ç in font zpsycmrv! Overfull \hbox (977.13452pt too wide) in paragraph at lines 1383--1424 [] [] (./HapMan.ind [27 ] [28 ] [29] [30 ]) (./HapMan.aux) ) Here is how much of TeX's memory you used: 3617 strings out of 94500 49410 string characters out of 1175770 102863 words of memory out of 1000000 6639 multiletter control sequences out of 10000+50000 39382 words of font info for 90 fonts, out of 500000 for 2000 580 hyphenation exceptions out of 8191 28i,12n,24p,603b,250s stack positions out of 1500i,500n,5000p,200000b,5000s PDF statistics: 426 PDF objects out of 300000 83 named destinations out of 131072 17 words of extra memory for PDF output out of 65536 </usr/share/texmf-tetex/fonts/type1/bluesky/cm/cmsy10.pfb></ usr/share/texmf-texlive/fonts/type1/urw/symbol/usyr.pfb></usr/share/texmf-tetex /fonts/type1/bluesky/cm/cmmi10.pfb></usr/share/texmf-tetex/fonts/type1/bluesky/ cm/cmr10.pfb>{/usr/share/texmf-tetex/fonts/enc/dvips/psnfss/8r.enc}</usr/share/ texmf-texlive/fonts/type1/urw/courier/ucrr8a.pfb></usr/share/texmf-texlive/font s/type1/urw/times/utmr8a.pfb></usr/share/texmf-texlive/fonts/type1/urw/times/ut mri8a.pfb></usr/share/texmf-texlive/fonts/type1/urw/times/utmb8a.pfb> Output written on HapMan.pdf (30 pages, 221793 bytes).